I'm adding some additional logic to page.php inside a wordpress theme. This theme already has 4 sidebar icons (north, south, east, west).

I have to obtain the text that's joined right into a text widget in the wordpress-admin widget panel inside my page.php code. This logic is "outdoors the wordpress loop".

basically perhaps you have understood correct...

You might display text from text widget only in sidebar, so you've to call a sidebar logic inside your file page.php after which add the written text widget for this new sidebar.